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Sunday Times Teaser 2525

by DJT Hogg

Published: 13 February 2011 (link)

“Sandwich numbers” are those of the form BFB, where B is the bread and is a single digit, and F is the filling of any length: BFB has to be divisible by F. For example, 11371 is a sandwich with filling 137 since 11371 = 83 x 137. Incidentally, all of 21372, 31373, … , 91379 are also sandwich numbers, and these nine are said to make up a “sandwich box”.

The filling in my sandwich box today is the smallest beginning with a 3.

What is my filling?

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  1. Brian Gladman permalink

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